Atlas Algebra

An office manager paid $675.95 for computer equipment. The office manager bought one monitor for $127.95 and hard drives for $68.50 each. Write an equation to find x, the number of hard drives the office manager bought.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Answer explanation

Let t = # of hours on Tuesday

Line N made 480 toys per hour

Line M made 300 toys per hour

Line N toys Tues = Line M toys Mon + Tues

480 toys per hr = 300 toys per hr + 900 toys

Answer: 480t = 300t + 900 (or equivalent)

Simplify: 12 + 4(x - 5) + 7x

Mathematical Equivalence

OFF

Is the following expression expanded correctly or incorrectly?:

10 (x - 5) = 10x - 50

• No, this is wrong!

• Yes, this is right!

Factor completely.
2k² -4k - 48

• 2(k+4)(k-6)

• (k+4)(k-6)

• (k+6)(k-1)

• 2(k-4)(k+6)

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

Jack and Matt are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Jack sold 7 small boxes of oranges and 8 large boxes of oranges for a total of $222. Matt sold 7 small boxes of oranges and 2 large boxes of oranges for a total of $108. What is the cost each of one small box of oranges and one large box of oranges?

• small box of oranges: $10, large box of oranges: $19

• small box of oranges: $16, large box of oranges: $17

• small box of oranges: $8, large box of oranges: $20

• small box of oranges: $6, large box of oranges: $16

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11

• 9x³ + 8x² - 3x - 11

• 8x² + 9x³ -11 - 3x

• -11 - 3x + 8x² + 9x³

Which is the graph of y=-x+2?

• A

• B

• C

• D